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Simplifying k2x2 + -8x + 4 = 0 Reorder the terms: 4 + k2x2 + -8x = 0 Solving 4 + k2x2 + -8x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + k2x2 + -4 + -8x = 0 + -4 Reorder the terms: 4 + -4 + k2x2 + -8x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k2x2 + -8x = 0 + -4 k2x2 + -8x = 0 + -4 Combine like terms: 0 + -4 = -4 k2x2 + -8x = -4 Add '8x' to each side of the equation. k2x2 + -8x + 8x = -4 + 8x Combine like terms: -8x + 8x = 0 k2x2 + 0 = -4 + 8x k2x2 = -4 + 8x Divide each side by 'x2'. k2 = -4x-2 + 8x-1 Simplifying k2 = -4x-2 + 8x-1 Reorder the terms: k2 + 4x-2 + -8x-1 = -4x-2 + 4x-2 + 8x-1 + -8x-1 Combine like terms: -4x-2 + 4x-2 = 0 k2 + 4x-2 + -8x-1 = 0 + 8x-1 + -8x-1 k2 + 4x-2 + -8x-1 = 8x-1 + -8x-1 Combine like terms: 8x-1 + -8x-1 = 0 k2 + 4x-2 + -8x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-2'. x-2(k2x2 + 4 + -8x) = 0Subproblem 1
Set the factor 'x-2' equal to zero and attempt to solve: Simplifying x-2 = 0 Solving x-2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1x-2' to each side of the equation. x-2 + -1x-2 = 0 + -1x-2 Remove the zero: 0 = -1x-2 Simplifying 0 = -1x-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(k2x2 + 4 + -8x)' equal to zero and attempt to solve: Simplifying k2x2 + 4 + -8x = 0 Reorder the terms: 4 + k2x2 + -8x = 0 Solving 4 + k2x2 + -8x = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + k2x2 + -4 + -8x = 0 + -4 Reorder the terms: 4 + -4 + k2x2 + -8x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k2x2 + -8x = 0 + -4 k2x2 + -8x = 0 + -4 Combine like terms: 0 + -4 = -4 k2x2 + -8x = -4 Add '8x' to each side of the equation. k2x2 + -8x + 8x = -4 + 8x Combine like terms: -8x + 8x = 0 k2x2 + 0 = -4 + 8x k2x2 = -4 + 8x Divide each side by 'x2'. k2 = -4x-2 + 8x-1 Simplifying k2 = -4x-2 + 8x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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